Term Rewriting System R:
[x]
f(x, x) -> f(g(x), x)
g(x) -> s(x)

Termination of R to be shown.



   R
Dependency Pair Analysis



R contains the following Dependency Pairs:

F(x, x) -> F(g(x), x)
F(x, x) -> G(x)

Furthermore, R contains one SCC.


   R
DPs
       →DP Problem 1
Remaining Obligation(s)




The following remains to be proven:
Dependency Pair:

F(x, x) -> F(g(x), x)


Rules:


f(x, x) -> f(g(x), x)
g(x) -> s(x)




Termination of R could not be shown.
Duration:
0:00 minutes